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Full text of "Treatise On Analysis Vol-Ii"

Pure and Applied Mathematics

A Series of Monographs and Textbooks

Editors Samuel Eilenberg and Hyman Bass

Columbia University, New York

RECENT TITLES

XIA DAO-XING. Measure and Integration Theory of Infinite-Dimensional Spaces:

Abstract Harmonic Analysis

RONALD G. DOUGLAS. Banach Algebra Techniques in Operator Theory

WILLARD MILLER, JR. Symmetry Groups and Their Applications

ARTHUR A. SAGLE AND RALPH E. WALDE. Introduction to Lie Groups and Lie Algebras

T. BENNY RUSHING. Topological Embeddings

JAMES W. VICK. Homology Theory: An Introduction to Algebraic Topology

E. R. KOLCHIN. Differential Algebra and Algebraic Groups

GERALD J. JANUSZ. Algebraic Number Fields

A. S. B. HOLLAND. Introduction to the Theory of Entire Functions

WAYNE ROBERTS AND DALE VARBERG. Convex Functions

A. M. OSTROWSKI. Solution of Equations in Euclidean and Banach Spaces, Third Edition

of Solution of Equations and Systems of Equations

H. M. EDWARDS. Riemann's Zeta Function

SAMUEL EILENBERG. Automata, Languages, and Machines: Volume A. In preparation:

Volume B

MORRIS HIRSCH AND STEPHEN SMALE. Differential Equations, Dynamical Systems, and

Linear Algebra

WILHELM MAGNUS. Noneuclidean Tesselations and Their Groups

FRANCOIS TREVES. Basic Linear Partial Differential Equations

WILLIAM M. BOOTHBY. An Introduction to Difrerentiable Manifolds and Riemannian

Geometry

BRAYTON GRAY. Homotopy Theory: An Introduction to Algebraic Topology

ROBERT A. ADAMS. Sobolev Spaces

JOHN J. BENEDETTO. Spectral Synthesis

D. V. WIDDER. The Heat Equation

IRVING EZRA SEGAL. Mathematical Cosmology and Extragalactic Astronomy

J. DIEUDONNE. Treatise on Analysis: Volume II, enlarged and corrected printing;          A 6

Volume IV                                                                                                                    B 7

WERNER GREUB, STEPHEN HALPERIN, AND RAY VAN STONE. Connections, Curvature, and    D 9

Cohomology : Volume III, Cohomology of Principal Bundles and Homogeneous Spaces    E  0

G   2

In preparation                                                                                                                     H 3

I. MARTIN ISAACS. Character Theory of Finite Groups                                                   j   5nvelope of a family of real-valued